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Finding the Fourth Proportional to 127,771.14, 191,444.84 and 77,699.77

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Solution

The fourth proportional to 127,771.14, 191,444.84 and 77,699.77 is: 116,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,771.14 : 191,444.84 = 77,699.77 : x
  2. Step 2: Convert to fraction form
    127,771.14/191,444.84 = 77,699.77/x
  3. Step 3: Cross multiply
    127,771.14x = 191,444.84 × 77,699.77
  4. Step 4: Simplify right side
    127,771.14x = 14,875,219,647.19
  5. Step 5: Solve for x
    x = 14,875,219,647.19/127,771.14
  6. Step 6: Final answer
    x = 116,420.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.